sky. Delicate, fragile on the wing, indeed I am a pretty thing.
What am I?
Butterfly.
Butterfly.
Tuesday, Thursday, today, and tomorrow!
4
We first look with which numbers each number can form a pair of which the sum is a square:
Number:
Number 1 Square pairs: 1+3
1+8
1+15
Number 2 Square pairs: 2+7
2+14
Number 3 Square pairs: 3+1
3+6
3+13
Number 4 Square pairs: 4+5
4+12
Number 5 Square pairs:
5+4
5+11
Number 6 Square pairs:: 6+3
6+10
Number 7 Square pairs: 7+2
7+9
Number 8 Square pairs: 8+1 Number 9 Square pairs: 9+7
9+16
Number 10 Square pairs: 10+6
10+15
Number 11 Square pairs: 11+5
11+14
Number 12 Square pairs:12+4
12+13
Number 13 Square pairs:13+3
13+12
Number 14 Square pairs:14+2
14+11
Number 15 Square pairs:15+1
15+10
Number 16 Square pairs:16+9
As can be seen, there are two numbers that can form a pair in only one way: 8 and 16. Therefore, these two numbers need to be at the start or at the end of the sequence. If we start with the number 16, the sequence follows almost automatically: 16 9 7 2 14 11 5 4 12 13 3 6 10 15 1 8. Of course, the reverse sequence is also a possible solution.
It had too many problems.
An elephant.
Scales.
We know that Richard tells the truth on only a single day of the week. If the statement on day 1 is untrue, this means that he tells the truth on Monday or Tuesday. If the statement on day 3 is untrue, this means that he tells the truth on Wednesday or Friday. Since Richard tells the truth on only one day, these statements cannot both be untrue. Therefore, exactly one of these statements must be true, and the statement on day 2 must be untrue.
Assume that the statement on day 1 is true. Then the statement on day 3 must be untrue, from which follows that Richard tells the truth on Wednesday or Friday. Consequently, day 1 is a Wednesday or a Friday. Therefore, day 2 is a Thursday or a Saturday. However, this would imply that the statement on day 2 is true, which is impossible. From this, we can conclude that the statement on day 1 must be untrue.
This means that Richard told the truth on day 3 and that this day is a Monday or a Tuesday. Therefore, day 2 is a Sunday or a Monday. Because the statement on day 2 must be untrue, we can conclude that day 2 is a Monday.
Consequently, day 3 is a Tuesday. Therefore, the day on which Richard tells the truth is Tuesday.
The glass is getting bigger in height but smaller in width.
Fire.
Open the door, take the elephant out, put the giraffe in, and close the door.
Just swim, because the crocodiles are at the party, just like all other animals!